Cryptographically

Cryptographically is an adverb derived from cryptography, the field concerned with securing information through encryption, hashing, digital signatures, and related techniques. When something is described as cryptographic, it is related to the body of methods and standards used to achieve confidentiality, integrity, authenticity, and non-repudiation. The adverb form is used to indicate that a process, property, or decision is based on cryptographic principles or evaluated under cryptographic guarantees.

Common usages include phrases such as cryptographically secure, cryptographically strong, cryptographically verifiable, and cryptographically sound. These expressions refer to systems, protocols, or components that rely on cryptographic primitives (for example, encryption algorithms, hash functions, or key exchange methods) and are deemed secure under accepted cryptographic models and assumptions. Examples include cryptographically secure pseudorandom number generators and cryptographically secure communication protocols.

The precise meaning of cryptographically secure or cryptographically strong depends on context, including the threat model, the chosen algorithms, key sizes, and implementation quality. Security claims are typically supported by theoretical proofs, empirical evidence, or standardization. As with any technical term, cryptographically is best understood with reference to specific cryptographic properties, such as confidentiality, integrity, forward secrecy, or post-quantum resistance.